That makes no sense.
The abomination of desolation is the fall of the Temple. However, the crucifixion was the building of God's kingdom as described in Daniel 2.
But you have wrongly assumed that Jesus is lost as a Messiah. On the contrary, he fulfilled his task as Messiah, raised from the dead, and gave for us eternal life.
Let's read the passage from Matthew and from John.
12After this, He went down to Capernaum with His mother and brothers and His disciples, and they stayed there a few days.
13When the Jewish Passover was near, Jesus went up to Jerusalem. 14In the temple courtsb He found men selling cattle, sheep, and doves, and money changers seated at their tables. 15So He made a whip out of cords and drove all from the temple courts, both sheep and cattle. He poured out the coins of the money changers and overturned their tables. 16To those selling doves He said, “Get these out of here! How dare you turn My Father’s house into a marketplace!”
17His disciples remembered that it is written: “Zeal for Your house will consume Me.”c
18On account of this, the Jews demanded, “What sign can You show us to prove Your authority to do these things?”
19Jesus answered, “Destroy this temple, and in three days I will raise it up again.”
20“This temple took forty-six years to build,” the Jews replied, “and You are going to raise it up in three days?”
21But Jesus was speaking about the temple of His body.
In John, there is no abomination of desolation mentioned. It is clear from the onset, that the only temple that matters ultimately is Jesus.
Unlike Revelation that paints the third Temple as some kind of evil thing, it's probably fine to build a physical Temple to God. God doesn't need it, and there's risk of being an idol. But whatever makes you happy, as long as it is suitable for worshiping God (not like Herod's temple, which was a temple built by men). There is already a spiritual Temple though, so God would probably teach you why not. But moving on...
Jesus left the temple and was walking away when his disciples came up to him to call his attention to its buildings. 2 “Do you see all these things?” he asked. “Truly I tell you, not one stone here will be left on another; every one will be thrown down.”
3 As Jesus was sitting on the Mount of Olives, the disciples came to him privately. “Tell us,” they said, “when will this happen, and what will be the sign of your coming and of the end of the age?”
4 Jesus answered: “Watch out that no one deceives you. 5 For many will come in my name, claiming, ‘I am the Messiah,’ and will deceive many. 6 You will hear of wars and rumors of wars, but see to it that you are not alarmed. Such things must happen, but the end is still to come. 7 Nation will rise against nation, and kingdom against kingdom. There will be famines and earthquakes in various places. 8 All these are the beginning of birth pains.
9 “Then you will be handed over to be persecuted and put to death, and you will be hated by all nations because of me. 10 At that time many will turn away from the faith and will betray and hate each other, 11 and many false prophets will appear and deceive many people. 12 Because of the increase of wickedness, the love of most will grow cold, 13 but the one who stands firm to the end will be saved. 14 And this gospel of the kingdom will be preached in the whole world as a testimony to all nations, and then the end will come.
15 “So when you see standing in the holy place ‘the abomination that causes desolation,’ spoken of through the prophet Daniel—let the reader understand— 16 then let those who are in Judea flee to the mountains. 17 Let no one on the housetop go down to take anything out of the house. 18 Let no one in the field go back to get their cloak. 19 How dreadful it will be in those days for pregnant women and nursing mothers! 20 Pray that your flight will not take place in winter or on the Sabbath. 21 For then there will be great distress, unequaled from the beginning of the world until now—and never to be equaled again.
22 “If those days had not been cut short, no one would survive, but for the sake of the elect those days will be shortened. 23 At that time if anyone says to you, ‘Look, here is the Messiah!’ or, ‘There he is!’ do not believe it. 24 For false messiahs and false prophets will appear and perform great signs and wonders to deceive, if possible, even the elect. 25 See, I have told you ahead of time.
26 “So if anyone tells you, ‘There he is, out in the wilderness,’ do not go out; or, ‘Here he is, in the inner rooms,’ do not believe it. 27 For as lightning that comes from the east is visible even in the west, so will be the coming of the Son of Man. 28 Wherever there is a carcass, there the vultures will gather.
29 “Immediately after the distress of those days
“‘the sun will be darkened,
and the moon will not give its light;
the stars will fall from the sky,
and the heavenly bodies will be shaken.’
Keep in mind this last bit. So look, the Jews are all fixated on the temple. Like, "Oh noes! You say it'll fall?" And Jesus is like "Yeah, so what? There's gonna be wars, you'll likely have to explain yourself to a secular world, and there might even be signs in heave. But God is gonna build his own Temple through me." And the followers and people hearing are like, " .....I didn't understand that last part. "
The sequence in his prediction is all messed up (there was darkness at his crucifixion, the disciples got handed over, and the temple fell nearly 40 years later (abomination of desolation). But the time sequence doesn't matter. Nor does the temple. You can tell he's practically yawning while his followers are freaked out that the temple will fall.
Now, when Matthew has the death of Jesus, it is a big event filled with signs and wonders. But John keeps it low key. These are linked passages. Matthew, Mark, and Luke all have signs and wonders after predicting the fall of the temple. But Jesus simply says he'll build it in three days in John, and John despite being the most theological, has no great wonders for Jesus's death.
28 Later, knowing that everything had now been finished, and so that Scripture would be fulfilled, Jesus said, “I am thirsty.” 29 A jar of wine vinegar was there, so they soaked a sponge in it, put the sponge on a stalk of the hyssop plant, and lifted it to Jesus’ lips. 30 When he had received the drink, Jesus said, “It is finished.” With that, he bowed his head and gave up his spirit.
31 Now it was the day of Preparation, and the next day was to be a special Sabbath. Because the Jewish leaders did not want the bodies left on the crosses during the Sabbath, they asked Pilate to have the legs broken and the bodies taken down. 32 The soldiers therefore came and broke the legs of the first man who had been crucified with Jesus, and then those of the other. 33 But when they came to Jesus and found that he was already dead, they did not break his legs. 34 Instead, one of the soldiers pierced Jesus’ side with a spear, bringing a sudden flow of blood and water. 35 The man who saw it has given testimony, and his testimony is true. He knows that he tells the truth, and he testifies so that you also may believe. 36 These things happened so that the scripture would be fulfilled: “Not one of his bones will be broken,” 37 and, as another scripture says, “They will look on the one they have pierced.”
That's it, just to mention a miracle of blood and water, and that he was dead before they could break his legs.
Matthew has this instead
45 From noon until three in the afternoon darkness came over all the land. 46 About three in the afternoon Jesus cried out in a loud voice, “Eli, Eli, lema sabachthani?” (which means “My God, my God, why have you forsaken me?”).
47 When some of those standing there heard this, they said, “He’s calling Elijah.”
48 Immediately one of them ran and got a sponge. He filled it with wine vinegar, put it on a staff, and offered it to Jesus to drink. 49 The rest said, “Now leave him alone. Let’s see if Elijah comes to save him.”
50 And when Jesus had cried out again in a loud voice, he gave up his spirit.
51 At that moment the curtain of the temple was torn in two from top to bottom. The earth shook, the rocks split 52 and the tombs broke open. The bodies of many holy people who had died were raised to life. 53 They came out of the tombs after Jesus’ resurrection and went into the holy city and appeared to many people.
54 When the centurion and those with him who were guarding Jesus saw the earthquake and all that had happened, they were terrified, and exclaimed, “Surely he was the Son of God!”
Darkness over the land, earthquakes, the dead rising, and the temple curtain severing from the top. This curtain btw, took 300 priests to move it (very very heavy amount of fabric), and it rips from the very top.
This is directly linked to his discussion Jesus has abour signs in heaven and earth in Matthew/Mark/Luke, and the lack thereof in John. I've checked. So what are we to make of this?
44 “In the time of those kings, the God of heaven will set up a kingdom that will never be destroyed, nor will it be left to another people. It will crush all those kingdoms and bring them to an end, but it will itself endure forever.
Daniel intreprets this as starting with his kingdom but I think we're further along than that. In fact, I think we're living in God's kingdom, but it has been paved over by selfish humans.
Jesus has built the last Temple, but it's not visible to your eyes. It is the spiritual Temple described in Ezekiel (which I also tore out, as I thought the images were too much like Revelation).
You should check with an optometrist.